
Parallel Finite-Difference Time-Domain Method
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Content
- Parallel Finite-Difference Time-Domain Method
- Contents
- Preface
- FDTD Method
- 1.1 FINITE-DIFFERENCE CONCEPT
- 1.2 INTRODUCTION TO FDTD
- 1.3 NUMERICAL DISPERSION
- 1.4 STABILITY ANALYSIS
- 1.5 NONUNIFORM MESH
- REFERENCES
- Chapter 2 Boundary Conditions
- 2.1 PEC AND PMC BOUNDARY CONDITIONS
- 2.2 MUR'S ABSORBING BOUNDARY CONDITION
- 2.3 UNSPLIT PML
- 2.4 STRETCHED COORDINATE PML
- 2.5 TIME CONVOLUTION PML
- REFERENCES
- Chapter 3 Improvement of the FDTD
- 3.1 CONFORMAL FDTD FOR PEC OBJECTS
- 3.2 CONFORMAL TECHNIQUE FOR DIELECTRIC
- 3.3 ALTERNATING DIRECTION IMPLICIT (ADI) ALGORITHM
- 3.3.1 Update for ADI Equations
- 3.3.2 PML Truncation Techniques for ADI-FDTD
- 3.3.3 Separable Backward-Central Difference
- 3.4 SIMULATION OF DISPERSIVE MEDIA
- 3.4.1 Recursive Convolution
- 3.4.2 Pole Extraction Techniques
- 3.4.3 Simulation of Double-Negative Materials
- 3.5 CIRCUIT ELEMENTS
- REFERENCES
- Chapter 4 Excitation Source
- 4.1 INTRODUCTION
- 4.2 TIME SIGNATURE
- 4.3 LOCAL SOURCE
- 4.4 SOURCES FOR UNIFORM TRANSMISSION LINES
- 4.5 POWER INTRODUCED BY LOCAL EXCITATION SOURCES
- 4.6 PHASE DIFFERENCE AND TIME DELAY
- 4.7 PLANE WAVE SOURCES
- REFERENCES
- Chapter 5 Data Collection and Post-Processing
- 5.1 TIME-FREQUENCY TRANSFORMATION
- 5.2 MODE EXTRACTION OF TIME SIGNAL
- 5.3 CIRCUIT PARAMETERS
- 5.4 NEAR-TO-FAR-FIELD TRANSFORMATION
- 5.4.1 Basic Approach
- 5.4.2 Far-Field Calculation for Planar Structures
- 5.4.3 Data Compression and Its Application
- REFERENCES
- Chapter 6 Introduction to Parallel Computing Systems
- 6.1 ARCHITECTURE OF THE PARALLEL SYSTEM
- 6.1.1 Symmetric Multiprocessor
- 6.1.2 Distributed Shared Memory System
- 6.1.3 Massively Parallel Processing
- 6.1.4 Beowulf PC Cluster
- 6.2 PARALLEL PROGRAMMING TECHNIQUES
- 6.3 MPICH ARCHITECTURE
- 6.4 PARALLEL CODE STRUCTURE
- 6.5 EFFICIENCY ANALYSIS OF PARALLEL FDTD
- REFERENCES
- Chapter 7 Parallel FDTD Method
- 7.1 INTRODUCTION TO THE MPI LIBRARY
- 7.2 DATA EXCHANGING TECHNIQUES
- 7.3 DOMAIN DECOMPOSITION TECHNIQUE
- 7.4 IMPLEMENTATION OF THE PARALLEL FDTD METHOD
- 7.4.1 Data Exchange Along the x-Direction
- 7.4.2 Data Exchange Along the y-Direction
- 7.4.3 Data Exchange Along the z-Direction
- 7.5 RESULT COLLECTION
- 7.5.1 Nonuniform Mesh Collection
- 7.5.2 Result Collection
- 7.5.3 Far-Field Collection
- 7.5.4 Surface Current Collection
- 7.6 ASSOCIATED PARALLEL TECHNIQUES
- 7.6.1 Excitation Source
- 7.6.1.1 Current Source
- 7.6.1.2 Electric Current Source with an Internal Resistance
- 7.6.1.3 Waveguide Excitation
- 7.6.1.4 Plane Wave Source
- 7.6.2 Waveguide Matched Load
- 7.6.3 Subgridding Technique
- 7.7 NUMERICAL EXAMPLES
- 7.7.1 Crossed Dipole
- 7.7.2 Circular Horn Antenna
- 7.7.3 Patch Antenna Array Beam Scanning
- REFERENCES
- Chapter 8 Illustrative Engineering Applications
- 8.1 FINITE PATCH ANTENNA ARRAY
- 8.2 FINITE CROSSED DIPOLE ANTENNA ARRAY
- REFERENCES
- Chapter 9 FDTD Analysis of Bodies of Revolution
- 9.1 BOR/FDTD
- 9.2 UPDATE EQUATIONS FOR BOR/FDTD
- 9.3 PML FOR BOR/FDTD
- 9.4 NEAR-TO-FAR-FIELD TRANSFORMATION IN BOR/FDTD
- 9.5 SINGULAR BOUNDARY IN THE BOR/FDTD
- 9.6 PARTIALLY SYMMETRIC PROBLEM
- 9.6.1 Normally Incident Plane Wave
- 9.6.2 Obliquely Incident Plane Wave
- REFERENCES
- Chapter 10 Parallel BOR/FDTD
- 10.1 INTRODUCTION TO PARALLEL BOR/FDTD
- 10.2 IMPLEMENTATION OF PARALLEL BOR/FDTD
- 10.3 EFFICIENCY ANALYSIS OF PARALLEL BOR/FDTD
- 10.4 REFLECTOR ANTENNA SYSTEM
- 10.4.1 Reflector Antenna Simulation
- 10.4.2 Combination with Reciprocity Principle
- 10.4.3 Simulation of the Reflector Antenna System
- REFERENCES
- Appendix A Introduction to Basic MPI Functions
- A.1 SELECTED MPICH FUNCTIONS IN FORTRAN
- A.2 SELECTED MPICH FUNCTIONS IN C/C++
- A.3 MPI DATA TYPE
- A.4 MPI OPERATOR
- A.5 MPICH SETUP
- A.5.1 MPICH Installation and Configuration for Windows
- A.5.2 MPICH Installation and Configuration for Linux
- REFERENCES
- Appendix B PC Cluster-Building Techniques
- B.1 SETUP OF A PC CLUSTER FOR THE LINUX SYSTEM
- B.1.1 PC Cluster System Description
- B.1.2 Linux Installation
- B.1.3 Linux System Configuration
- B.1.3.1 NIS Configuration
- B.1.3.2 NFS Server Configuration
- B.1.4 Developing Tools
- B.1.5 MPICH
- B.1.6 Batch Processing Systems
- B.2 PARALLEL COMPUTING SYSTEM BASED ON WINDOWS
- B.2.1 System Based on Windows
- B.2.2 System Based on a Peer Network
- B.3 USING AN EXISTING BEOWULF PC CLUSTER
- REFERENCES
- List of Notations
- Basic parameters and units
- About the Authors
- Index
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